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What is the Least Common Multiple of 9076 and 9085?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 9076 and 9085 is 82455460.

LCM(9076,9085) = 82455460

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Least Common Multiple of 9076 and 9085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9076 and 9085, than apply into the LCM equation.

GCF(9076,9085) = 1
LCM(9076,9085) = ( 9076 × 9085) / 1
LCM(9076,9085) = 82455460 / 1
LCM(9076,9085) = 82455460

Least Common Multiple (LCM) of 9076 and 9085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9076 and 9085. First we will calculate the prime factors of 9076 and 9085.

Prime Factorization of 9076

Prime factors of 9076 are 2, 2269. Prime factorization of 9076 in exponential form is:

9076 = 22 × 22691

Prime Factorization of 9085

Prime factors of 9085 are 5, 23, 79. Prime factorization of 9085 in exponential form is:

9085 = 51 × 231 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 9076 and 9085.

LCM(9076,9085) = 22 × 22691 × 51 × 231 × 791
LCM(9076,9085) = 82455460